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Determine k such that the quadratic equa...

Determine k such that the quadratic equation `x^(2)+7(3+2k)-2x(1+3k)=0` has equal roots :

A

`2, 7`

B

`7, 5`

C

`2, (-10)/(9)`

D

none of these

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The correct Answer is:
C
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ARIHANT SSC-THEORY OF EQUATIONS-INTRODUCTORY EXERCISE - 14.1
  1. (x-(1)/(x))^(2)+8(x+(1)/(x))=29, x ne0:

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  2. ((1)/(x+1)+(1)/(x+5))=((1)/(x+2)+(1)/(x+4)):

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  3. Determine k such that the quadratic equation x^(2)+7(3+2k)-2x(1+3k)=0 ...

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  4. Discriminant of the equation -3x^(2)+2x-8=0 is :

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  5. The nature of the roots of the equation x^(2)-5x+7=0 is

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  6. The roots of a^(2)x^(2)+abx+b^(2),ane0 are :

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  7. The equal x^(2)-px+q=0, p,q, in R has no real roots if :

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  8. Determine the value of k for which the quadratic equation 4x^(2)-3kx+1...

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  9. Find the value of k such that the equation x^(2)-(k+6)x+2(2k-1)=0 has ...

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  10. Find the value of k so that the sum of the roots of the quadratic equa...

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  11. If -4 is a root of the quadratic equation x^(2)-px-4=0 and the quadrat...

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  12. Find the value of k such that the sum of the squares of the roots of t...

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  13. Find the value of p for which the quadratic equation x^(2)+p(4x+p-1)+2...

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  14. If alpha and beta are the roots of the equation 3x^(2)+7x+3=0 Find the...

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  15. If alpha and beta are the roots of the equation x^(2)-3x+2=0, Find the...

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  16. Find the quadratic equation whose roots are sqrt3 and 2sqrt3 :

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  17. If alpha and beta are the roots of equation 6x^(2)+x-2=0, find the val...

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  18. If a and c are such that the quadratic equation ax^(2)-5x+c=0 has 10 a...

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  19. If alpha and beta are the roots of the equation x^(2)-x-4=0, find the ...

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  20. If alpha and beta are the roots of the equation x^(2)-2x-1=0. Find the...

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